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Wiener's Criterion in Potential Theory with Applications to Nilpotent Lie Groups.

H. Hueber — 1985

Mathematische Zeitschrift

On boundary Harnack principles and poles of extremal harmonic functions.

H. Hueber — 1979

Journal für die reine und angewandte Mathematik

The Dirichlet Problem for Sublaplacians on Nilpotent Gruops - Geometric Criteria For Regularity.

W. Hansen; H. Hueber — 1986

Mathematische Annalen

Asymptotics for some Green Kernels on the Heisenberg Group and the Martin Boundary.

D. Müller; H. Hueber — 1989

Mathematische Annalen

Uniform bounds for quotients of Green functions on $C^{1, 1}$ -domains

H. Hueber; M. Sieveking — 1982

Annales de l'institut Fourier

Let $Δ u = Σ_{i} \frac{\partial^{2}}{\partial_{x_{i}}^{2}}$ , $L u = Σ_{i, j} a_{i j} \frac{\partial^{2}}{\partial x_{i} \partial x_{j}} u + Σ_{i} b_{i} \frac{\partial}{\partial x_{i}} u + c u$ be elliptic operators with Hölder continuous coefficients on a bounded domain $Ω \subset R^{n}$ of class $C^{1, 1}$ . There is a constant $c > 0$ depending only on the Hölder norms of the coefficients of $L$ and its constant of ellipticity such that $c^{- 1} G_{Δ}^{Ω} \leq G_{L}^{Ω} \leq c G_{Δ}^{Ω} on Ω \times Ω,$ where $γ_{Δ}^{Ω}$ (resp. $G_{L}^{Ω}$ ) are the Green functions of $Δ$ (resp. $L$ ) on $Ω$ .

The Dirichlet problem for sublaplacians on nilpotent Lie groups - geometric criteria for regularity

Hansen, W.; Hueber, H. — 1990

Equadiff 7

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Currently displaying 1 – 6 of 6

Wiener's Criterion in Potential Theory with Applications to Nilpotent Lie Groups.

On boundary Harnack principles and poles of extremal harmonic functions.

The Dirichlet Problem for Sublaplacians on Nilpotent Gruops - Geometric Criteria For Regularity.

Asymptotics for some Green Kernels on the Heisenberg Group and the Martin Boundary.

Uniform bounds for quotients of Green functions on $C^{1, 1}$ -domains

The Dirichlet problem for sublaplacians on nilpotent Lie groups - geometric criteria for regularity

Advanced Search

Formula preview

Currently displaying 1 – 6 of 6

Wiener's Criterion in Potential Theory with Applications to Nilpotent Lie Groups.

On boundary Harnack principles and poles of extremal harmonic functions.

The Dirichlet Problem for Sublaplacians on Nilpotent Gruops - Geometric Criteria For Regularity.

Asymptotics for some Green Kernels on the Heisenberg Group and the Martin Boundary.

Uniform bounds for quotients of Green functions on C 1 , 1 -domains

The Dirichlet problem for sublaplacians on nilpotent Lie groups - geometric criteria for regularity

Uniform bounds for quotients of Green functions on $C^{1, 1}$ -domains